34794400 has 144 divisors (see below), whose sum is σ = 92994048. Its totient is φ = 12672000.

The previous prime is 34794391. The next prime is 34794407. The reversal of 34794400 is 449743.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (34794407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 570370 + ... + 570430.

It is an arithmetic number, because the mean of its divisors is an integer number (645792).

Almost surely, 2^34794400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34794400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46497024).

34794400 is an abundant number, since it is smaller than the sum of its proper divisors (58199648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34794400 is a wasteful number, since it uses less digits than its factorization.

34794400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 34794400 is about 5898.6778179521. The cubic root of 34794400 is about 326.4648668016.

The spelling of 34794400 in words is "thirty-four million, seven hundred ninety-four thousand, four hundred".